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2232221141 is a prime number
BaseRepresentation
bin1000010100001100…
…1111110111010101
312202120022120202002
42011003033313111
514032422034031
61005300125045
7106213365233
oct20503176725
95676276662
102232221141
11a46037867
12523696785
13297603617
14172667953
15d0e83ccb
hex850cfdd5

2232221141 has 2 divisors, whose sum is σ = 2232221142. Its totient is φ = 2232221140.

The previous prime is 2232221113. The next prime is 2232221143. The reversal of 2232221141 is 1411222322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2166530116 + 65691025 = 46546^2 + 8105^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232221141 - 214 = 2232204757 is a prime.

It is a super-3 number, since 3×22322211413 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2232221143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232221143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116110570 + 1116110571.

It is an arithmetic number, because the mean of its divisors is an integer number (1116110571).

Almost surely, 22232221141 is an apocalyptic number.

It is an amenable number.

2232221141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232221141 is an equidigital number, since it uses as much as digits as its factorization.

2232221141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 20.

The square root of 2232221141 is about 47246.3875973603. The cubic root of 2232221141 is about 1306.9101743683.

Adding to 2232221141 its reverse (1411222322), we get a palindrome (3643443463).

The spelling of 2232221141 in words is "two billion, two hundred thirty-two million, two hundred twenty-one thousand, one hundred forty-one".